Method of descent for integrable lattices

DOI10.1063/1.3133106zbMath1187.37084OpenAlexW2001322084MaRDI QIDQ3565285

Oleg I. Bogoyavlenskij

Publication date: 3 June 2010

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3133106

zbMATH Keywords

lattice theoryLiouville equationVolterra equations

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (1)

Integrable reductions of the Bogoyavlenskij-Itoh Lotka-Volterra systems

Cites Work

• Integrable Lotka-Volterra systems
• On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices
• On the \(r\)-matrix interpretation of Bogoyavlensky lattices
• The Hungry-Volterra Model – The Classical and Quantum Integrable Structures
• Superintegrability in a two-dimensional space of nonconstant curvature
• Superintegrability with third-order integrals in quantum and classical mechanics
• Construction of soliton cellular automaton from the vertex model - the discrete 2D Toda equation and the Bogoyavlensky lattice
• A combinatorial method for the vanishing of the Poisson brackets of an integrable Lotka–Volterra system
• Lotka–Volterra systems integrable in quadratures

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